GCD of 210, 116, 17, 199 Calculator

Given Input numbers are 210, 116, 17, 199

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 210, 116, 17, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 116, 17, 199 is 1.

Therefore, GCD of numbers 210, 116, 17, 199 is 1

Given Input Data is 210, 116, 17, 199

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 17 is 17

Prime Factorization of 199 is 199

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(210, 116) = 12180

GCD(210, 116) = ( 210 x 116 ) / 12180

GCD(210, 116) = 24360 / 12180

GCD(210, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 210, 116, 17, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 616, 79, 972
• GCD of 955, 583, 81, 203
• GCD of 647, 683, 79, 691
• GCD of 458, 412, 52, 691
• GCD of 227, 553, 81, 572

1. What is the GCD of 210, 116, 17, 199?

GCD of 210, 116, 17, 199 is 1

2. Where do I get the detailed procedure to find GCD of 210, 116, 17, 199?

You can find a detailed procedure to find GCD of 210, 116, 17, 199 on our page.

3. How to find GCD of 210, 116, 17, 199 on a calculator?

You can find the GCD of 210, 116, 17, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.